Abstract
We analyze the ample and moving cones of holomorphic symplectic manifolds, in light of recent advances in the minimal model program. As an application, we establish a numerical criterion for ampleness of divisors on fourfolds deformation-equivalent to punctual Hilbert schemes of K3 surfaces.
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Hassett, B., Tschinkel, Y. Moving and Ample Cones of Holomorphic Symplectic Fourfolds. Geom. Funct. Anal. 19, 1065–1080 (2009). https://doi.org/10.1007/s00039-009-0022-6
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DOI: https://doi.org/10.1007/s00039-009-0022-6